Quantum simulation of a lattice Schwinger model in a chain of trapped ions

Abstract

We discuss how a lattice Schwinger model can be realized in a linear ion trap, allowing a detailed study of the physics of Abelian lattice gauge theories related to one-dimensional quantum electrodynamics. Relying on the rich quantum-simulation toolbox available in state-of-the-art trapped-ion experiments, we show how one can engineer an effectively gauge-invariant dynamics by imposing energetic constraints, provided by strong Ising-like interactions. Applying exact diagonalization to ground-state and time-dependent properties, we study the underlying microscopic model, and discuss undesired interaction terms and other imperfections. As our analysis shows, the proposed scheme allows for the observation in realistic setups of spontaneous parity- and charge-symmetry breaking, as well as false-vacuum decay. Besides an implementation aimed at larger ion chains, we also discuss a minimal setting, consisting of only four ions in a simpler experimental setup, which enables to probe basic physical phenomena related to the full many-body problem. The proposal opens a new route for analog quantum simulation of high-energy and condensed-matter models where gauge symmetries play a prominent role.

18 pages, 11 figures; v3: similar to version published in Phys. Rev. X

References in corpus (18)

• Quantum computing with trapped ions
• An Open-System Quantum Simulator with Trapped Ions
• Tunable gauge potential for neutral and spinless particles in driven lattices
• Towards fault-tolerant quantum computing with trapped ions
• Ultracold Quantum Gases and Lattice Systems: Quantum Simulation of Lattice Gauge Theories
• Engineering Ising-XY spin models in a triangular lattice via tunable artificial gauge fields
• Atomic Quantum Simulation of U(N) and SU(N) Non-Abelian Lattice Gauge Theories
• Optical Abelian Lattice Gauge Theories
• Simulating 2+1d Lattice QED with dynamical matter using ultracold atoms
• Superconducting Circuits for Quantum Simulation of Dynamical Gauge Fields
• Optimal Surface-Electrode Trap Lattices for Quantum Simulation with Trapped Ions
• Laserless trapped-ion quantum simulations without spontaneous scattering using microtrap arrays
• Experimental Performance of a Quantum Simulator: Optimizing Adiabatic Evolution and Identifying Many-Body Ground States
• Precise Experimental Investigation of Eigenmodes in a Planar Ion Crystal
• Quantum chaos in SU_3 models with trapped ions
• Geometric phase gate on an optical transition for ion trap quantum computation
• Quantum Magnetism of Spin-Ladder Compounds with Trapped-Ion Crystals
• Topological Phenomena in Trapped Ion Systems

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